and (\(2k\) )th-order Suzuki formulas [1]}
\(\begin{aligned}{S}_{2}(t)&:=e^{-i\frac{t}{2}V}e^{-itT}e^{-i\frac{t}{2}V},\\{S}_{2k}(t)&:={S}_{2k-2}(u_{k}t)^2 \, {S}_{2k-2}((1-4u_{k})t) \, {S}_{2k-2}(u_{k}t)^2,\end{aligned}\) 
